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1st Semester Curriculum Map

Submitted by chancenalley on Wed, 06/20/2007 - 7:21am.
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Columbia Secondary School for Math, Science, and Engineering: Mathematics Curriculum
Week Fundamentals    
Sixth Grade Seventh Grade              
Topic Units Key Questions Key Activities Vocabulary Key Concepts/Skills Topic Units Key Questions Key Activities Vocabulary Key Concepts/Skills Unit Key Concepts/Skills
1 R: Using Prime Numbers S) 1-6: Factors, Divisibility, GCF What are prime numbers? What are composite numbers? How can we use prime numbers to simplify arithmetic tasks? Creating Factor Trees   Mental Division R: Working With Radicals              
S) 3-21: Prime and Composite Numbers, Prime Factorization Fundamental Theorem of Arithmetic              
S) 3-27: Least Common Multiple Find LCM of two or more numbers              
CON) Using Prime Factorization to Find GCF & LCM Using FTA to find GCF & LCM              
S) 3-30: Common Denominators, Adding and Subtracting Fractions Fraction Arithmetic              
2 Variables and Patterns CM) Variables, Tables and Coordinate Graphs What does the shape of a graph tell us? What choices are made when constructing graphs? Does it make sense to look for values that weren't given? CM Activities   Identify propertiest of tables and cartesian coordinate system Thinking With Mathematical Models CM) Exploring Data Patterns            
3 CM) Analyzing Graphs and Tables Use tables and graphs to solve problems CM) Linear Models and Equations            
4 CM) Rules and Equations Write equations for situations CM) Inverse Variation            
5 R: Working With Fractions S) 1-9: Adding, Subtracting, and Multiplying Fractions How can we perform arithmetic on fractions? Why is it important to be proficient in working with fractions?     Fraction Arithmetic R: Working With Exponents              
S) Writing Division Answers as Mixed Numbers Understanding Remainders              
S) 3-23: Subtracting Mixed Numbers with Regrouping Fraction Arithmetic              
S) 3-24: Reducing Fractions Fraction Arithmetic              
S) 3-26: Multiplying and Dividing Mixed Numbers Fraction Arithmetic              
6 Stretching and Shrinking CM) Enlarging and Reducing Shapes What are similar figures and how do we use them in our everyday lives? How can we create similar figures that will be useful? CM Activities   Understanding Scale Looking for Pythagoras CM) Coordinate Grids            
CM) Similar Figures Understanding Scale Factor CM) Squaring Off            
7 CM) Similar Polygons Understanding Scale Factor            
CM) Similarity and Ratios Understanding Scale Factor CM) The Pythagorean Theorem            
8 CM) Using Similar Triangles and Rectangles Understanding Scale Factor CM) Using Pythagorean Theorem            
9 R: 2-D Geometry CON) Identifying Polygons and Their Properties What are the names and properties of the standard polygons? Where can we find geometric shapes in our world? How does knowledge of these shapes help with real life tasks? Organizing Shapes. Finding an approximation for PI.   Geometric Properties R: Scientific Notation              
S) 7-62: Classifying Triangles Geometric Properties              
S) 4-37: Area of Triangles and Quadrilaterals Finding Areas              
S) 7-65: Circumference, Radius and Pi Working with Circles              
S) 9-82: Area of a Circle Working with Circles              
10 Comparing and Scaling CM) Making Comparisons How are ratios different from fractions? How does scaling and proportion relate to similar figures? Where are some places in real life that we might need a knowledge of scaling? CM Activities     Growing, Growing, Growing CM) Exponential Growth            
CM) Comparing Ratios, Percents, and Fractions Understand similarity and differences between ratios, percents, and fractions CM) Examining Growth Patterns            
11 CM) Growth Factors and Growth Rates            
CM) Comparing and Scaling Rates scale values CM) Exponential Decay            
12 CM) Making Sense of Proportions calculate proportions CM) Patterns with Exponents            
13 R: Measurement S) 2-16: U.S. Customary System What are the primary units in the customary system? How do we convert measurements within this system? How do we measure angles? What are the primary units in the metric system? How do we convert within the metric system? How do we convert measure between customary and metric? Measuring our environment   Recognize and Convert within Customary Units R: Order of Operations              
S) 2-17/4-40: Measuring Angles with a Protractor / Sum of the Angle Measures of a Triangle Using a Protractor              
S) 2-19: Perimeter Geometry Measures              
S) 4-32: Metric System Recognize and Convert within Metric Units              
S) 4-37: Area of a Triangle, Area of a Rectangle Geometry Measures              
14 Accentuate the Negative CM) Extending the Number System What are negative numbers? How do the four basic operations differ when used with negative numbers? CM Activities   Count and place negative numbers on the number line Frogs, Fleas, and Painted Cubes CM) Introduction to Quadratic Relationships            
15 CM) Adding and Subtracting Integers Add and subtract integers CM) Quadratic Expressions            
CM) Multiplying and Dividing Integers Multiply and Divide Integers CM) Quadratic Patterns of Change            
16 CM) Properties of Operations Properties of Addition and Multiplication CM) What is a Quadratic Function?            
17 R: Decimals and Percents S) 4-31: Reading and Writing Decimal Numbers What do numbers after a decimal point mean? How is working with decimal value different than working with whole numbers? What is the relation between fractions, decimals, and percents?     Understanding Place Value R: Combining Like Terms              
S) 4-33: Comparing Decimals, Rounding Decimals Quantitative Logic              
S) 4-34: Decimal Numbers on the Number Line Understanding the Real Number Line              
S) 4-35: Adding, Subtracting, Multiplying, and Dividing Decimal Numbers Decimal Arithmetic              
S) 5-43: Converting Between Fractions, Decimals, & Percents Decimal Arithmetic              
18 Moving Straight Ahead CM) Walking Rates What are linear functions? What does it mean to solve an equation? What is slope? CM Activities     Kaleidoscopes, Hubcaps, and Mirrors CM) Three Types of Symmetry            
CM) Exploring Linear Functions with Graphs and Tables Determine if a function is linear CM) Symmetry Transformations            
19 CM) Exploring Congruence            
CM) Solving Equations solve simple one-variable equations CM) Applying Congruence and Symmetry            
20 CM) Exploring Slope elementary determination of+G19 slope CM) Transforming Coordinates            
21 R: Probability S) 8-Inv: Probability and Odds, Compound Events, Experimental Probability What are "odds" in probability? Whan might you want to know the odds? What are some ways that we can find the odds of an event? Do I need an umbrella?   Understand Basic Probability R: Properties of Addition and Multiplication              
CON) Circle Graphs Create Circle Graphs              
CON) Counting Outcomes Calculate Odds Given Outcomes              
22 Filling and Wrapping CM) Building Boxes Where do regular solids come from? How can we create them? Can we create similar solids? CM Activities   Create solids from nets Say It With Symbols CM) Equivalent Expressions            
CM) Designing Rectangular Boxes Create nets for particular solids CM) Combining Expressions            
23 CM) Prisms and Cylinders Identify names, properties, and parts of solids of extrusion CM) Solving Equations            
CM) Cones, Spheres, and Pyramids Identify names, properties, and parts of special solids CM) Looking Back at Functions            
24 CM) Scaling Boxes Scale solid shapes CM) Reasoning with Symbols            
25 R: Statistics CON) Max, Min, Median, Quartiles How can we organize data in a meaningful way? What can we learn from a data set and what does it mean? Measuring ourselves. The skittles project   Organize and Partition a Data Set R: Combinations and Permutations              
CON) Box-and_Whisker Plots Create Visual Representations of Data              
CON) Average/Mean Calculate Mean              
CON) Mode Find Mode of a Data Set              
CON) Stem-and-Leaf Plots Create Visual Representations of Data              
26 What Do You Expect? CM) Evaluating Games of Chance   CM Activities     The Shapes of Algebra CM) Equations for Circles and Polygons            
CM) Analyzing Situations Using an Area Model   CM) Linear Equations and Inequalities            
27   CM) Equations with Two of More Variables            
CM) Expected Value   CM) Solving Systems of Linear Equations Symbolically            
28 CM) Binomial Outcomes   CM) Linear Inequalities            
29 Data Distributions CM) Making Sense of Variability   CM Activities     Samples and Populations CM) Comparing Data Sets            
CM) Making Sense of Measures of Center Find Mean, Median, and Mode CM) Choosing a Sample From a Population            
30 CM) Comparing Distributions: Equal Numbers of Data Values Compare two data sets in context CM) Solving Real-World Problems            
CM) Comparing Distributions: Unequal Numbers of Data Values Compare two or more data sets in context CM) Relating Two Variables
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